X+(1/2)x+1=100

Solution for X+(1/2)x+1=100 equation:

X+(1/2)X+1=100

We move all terms to the left:

X+(1/2)X+1-(100)=0


Domain of the equation: 2)X!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X+(+1/2)X+1-100=0

We add all the numbers together, and all the variables

X+(+1/2)X-99=0

We multiply parentheses

X^2+X-99=0

a = 1; b = 1; c = -99;
Δ = b2-4ac
Δ = 12-4·1·(-99)
Δ = 397
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{397}}{2*1}=\frac{-1-\sqrt{397}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{397}}{2*1}=\frac{-1+\sqrt{397}}{2}
$